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Finding the Third Proportional to 301,133 and 654,754

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Solution

The third proportional to 301,133 and 654,754 is: 1,423,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,133 : 654,754 = 654,754 : x
  2. Step 2: Convert to fraction form
    301,133/654,754 = 654,754/x
  3. Step 3: Cross multiply
    301,133x = 654,754 × 654,754
  4. Step 4: Simplify right side
    301,133x = 428,702,800,516
  5. Step 5: Solve for x
    x = 428,702,800,516/301,133
  6. Step 6: Final answer
    x = 1,423,632.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.